Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A school marks a straight no-parking boundary by 4x+3y24=0.4x+3y-24=0. A vehicle is at A(2,4)A(2,4) and a signboard is at B(6,0).B(6,0).
Total: 4 marks

(a) Find the distance of AA from the boundary. (2 marks)

(b) Check whether BB lies on the boundary. (1 mark)

(c) If the minimum allowed distance is 11 unit, decide whether AA is allowed. (1 mark)

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cbse-math-11.u3.t3-2.case.005

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